{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from __future__ import print_function\n",
    "import os\n",
    "import pandas as pd\n",
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Set current dir and work relative to it\n",
    "os.chdir('D:/Practical Time Series')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Read dataset into a pandas.DataFrame\n",
    "beer_df = pd.read_csv('datasets/quarterly-beer-production-in-aus-March 1956-June 1994.csv')\n",
    "beer_df.index = beer_df['Quarter']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of the dataframe: (155, 2)\n"
     ]
    }
   ],
   "source": [
    "#Display shape of the dataset\n",
    "print('Shape of the dataframe:', beer_df.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Quarter</th>\n",
       "      <th>Quarterly beer production in Australia: megalitres. March 1956 ? June 1994</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Quarter</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1956Q1</th>\n",
       "      <td>1956Q1</td>\n",
       "      <td>284.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1956Q2</th>\n",
       "      <td>1956Q2</td>\n",
       "      <td>212.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1956Q3</th>\n",
       "      <td>1956Q3</td>\n",
       "      <td>226.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1956Q4</th>\n",
       "      <td>1956Q4</td>\n",
       "      <td>308.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1957Q1</th>\n",
       "      <td>1957Q1</td>\n",
       "      <td>262.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1957Q2</th>\n",
       "      <td>1957Q2</td>\n",
       "      <td>227.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1957Q3</th>\n",
       "      <td>1957Q3</td>\n",
       "      <td>236.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1957Q4</th>\n",
       "      <td>1957Q4</td>\n",
       "      <td>320.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1958Q1</th>\n",
       "      <td>1958Q1</td>\n",
       "      <td>271.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1958Q2</th>\n",
       "      <td>1958Q2</td>\n",
       "      <td>232.8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Quarter  \\\n",
       "Quarter           \n",
       "1956Q1   1956Q1   \n",
       "1956Q2   1956Q2   \n",
       "1956Q3   1956Q3   \n",
       "1956Q4   1956Q4   \n",
       "1957Q1   1957Q1   \n",
       "1957Q2   1957Q2   \n",
       "1957Q3   1957Q3   \n",
       "1957Q4   1957Q4   \n",
       "1958Q1   1958Q1   \n",
       "1958Q2   1958Q2   \n",
       "\n",
       "         Quarterly beer production in Australia: megalitres. March 1956 ? June 1994  \n",
       "Quarter                                                                              \n",
       "1956Q1                                               284.4                           \n",
       "1956Q2                                               212.8                           \n",
       "1956Q3                                               226.9                           \n",
       "1956Q4                                               308.4                           \n",
       "1957Q1                                               262.0                           \n",
       "1957Q2                                               227.9                           \n",
       "1957Q3                                               236.1                           \n",
       "1957Q4                                               320.4                           \n",
       "1958Q1                                               271.9                           \n",
       "1958Q2                                               232.8                           "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Show top 10 rows\n",
    "beer_df.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Rename the 2nd column\n",
    "beer_df.rename(columns={'Quarterly beer production in Australia: megalitres. March 1956 ? June 1994':\n",
    "                        'Beer_Prod'\n",
    "                       },\n",
    "               inplace=True\n",
    "              )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of rows with at least one missing values: 1\n",
      "Shape after removing missing values: (154, 2)\n"
     ]
    }
   ],
   "source": [
    "#Remove missing values\n",
    "missing = (pd.isnull(beer_df['Quarter'])) | (pd.isnull(beer_df['Beer_Prod']))\n",
    "print('Number of rows with at least one missing values:', missing.sum())\n",
    "beer_df = beer_df.loc[~missing, :]\n",
    "print('Shape after removing missing values:', beer_df.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#In order to remove seasonal patterns let us calculate 2X4 quarter moving average\n",
    "MA4 = beer_df['Beer_Prod'].rolling(window=4).mean()\n",
    "TwoXMA4 = MA4.rolling(window=2).mean()\n",
    "TwoXMA4 = TwoXMA4.loc[~pd.isnull(TwoXMA4)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0ccooiox0h9zSAAYz9Y2rDXErpUaFzoeVm/W3NIAhPz+cjMx5VhA/ZhSmjEpK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\n4eKNN9Q2rgwSXhl5eLQTTDXkstni0v2YZNTQkL5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iVKbMmJEph47iq+X6IkaF0nQbN2Z3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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1ca4dd8ccf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Let's plot the original time series and the seasonal moving averages\n",
    "fig = plt.figure(figsize=(5.5, 5.5))\n",
    "ax = fig.add_subplot(1,1,1)\n",
    "beer_df['Beer_Prod'].plot(ax=ax, color='b', linestyle='-')\n",
    "TwoXMA4.plot(ax=ax, color='r', linestyle='-')\n",
    "plt.xticks(rotation=60)\n",
    "ax.set_title('Quaterly Beer Production between in Australia and 2X4 quarter MA')\n",
    "plt.savefig('plots/ch2/B07887_02_16.png', format='png', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Let's compute the residuals after removing the trend\n",
    "residuals = beer_df['Beer_Prod']-TwoXMA4\n",
    "residuals = residuals.loc[~pd.isnull(residuals)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7m1DA2nGWqYLw7SNFAWsWRJMKuKoFYSfIYpO8LBYLYnY2XCImBFxnJNxiScL9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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1ca4dfdfeb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Let's plot the residuals\n",
    "fig = plt.figure(figsize=(5.5, 5.5))\n",
    "ax = fig.add_subplot(1,1,1)\n",
    "residuals.plot(ax=ax, color='b', linestyle='-')\n",
    "plt.xticks(rotation=60)\n",
    "ax.set_title('Residuals in Quaterly Beer Production time series')\n",
    "plt.savefig('plots/ch2/B07887_02_17.png', format='png', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from pandas.plotting import autocorrelation_plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7566550>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/K+KfOhW4996O8ydFihQpOhvdXuOfMEFo/F/9qnmfK64AKiqAa6/tAAdTpEiRwoFU448B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\n7CoAgwDcQUSzieg/Pn3rD1vv7OSuqX8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4i0kO623C1sGJmvz1meDlO0HLpPHrpFrKIm6u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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x72b48f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Let's plot the autocorrelation function of the residuals\n",
    "fig = plt.figure(figsize=(5.5, 5.5))\n",
    "ax = fig.add_subplot(1,1,1)\n",
    "autocorrelation_plot(residuals, ax=ax)\n",
    "ax.set_title('ACF of Residuals in Quaterly Beer Production time series')\n",
    "plt.savefig('plots/ch2/B07887_02_18.png', format='png', dpi=300)\n",
    "autocorrelation_plot(residuals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Let's compute quarterly differecing to remove quaterly seasonality\n",
    "residuals_qtr_diff = residuals.diff(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Remove null values\n",
    "residuals_qtr_diff = residuals_qtr_diff.loc[~pd.isnull(residuals_qtr_diff)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0uHFdcglw//3JbQqVsZ98MrBwoXvCDusXMxc+Y/fG1tAgx1chfX4/rMc+AAm6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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7448c70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Let's plot the autocorrelation function of the residuals\n",
    "fig = plt.figure(figsize=(5.5, 5.5))\n",
    "ax = fig.add_subplot(1,1,1)\n",
    "autocorrelation_plot(residuals_qtr_diff, ax=ax)\n",
    "ax.set_title('ACF of Quaterly Differenced Residuals')\n",
    "plt.savefig('plots/ch2/B07887_02_19.png', format='png', dpi=300)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
